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On boundedness of solutions of second order differential equations in the limit circle case
| Content Provider | Semantic Scholar |
|---|---|
| Copyright Year | 1975 |
| Abstract | A differential equation of the form x"(t) + a(t)x(t) = 0, t ? 0, is said to be in the limit circle case if all its solutions are square integrable on [0, oo). It has been conjectured in [1] that all its solutions are bounded. J. Walter recently gave a counterexample. This paper gives a method of modifying any given equation in the limit circle case with bounded solutions to produce one with unbounded solutions. |
| Starting Page | 242 |
| Ending Page | 246 |
| Page Count | 5 |
| File Format | PDF HTM / HTML |
| DOI | 10.1090/S0002-9939-1975-0387710-5 |
| Volume Number | 52 |
| Alternate Webpage(s) | http://www.ams.org/journals/proc/1975-052-01/S0002-9939-1975-0387710-5/S0002-9939-1975-0387710-5.pdf |
| Alternate Webpage(s) | https://doi.org/10.1090/S0002-9939-1975-0387710-5 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
